Speed, Time and Distance


  1. A man covers 20 kms in 2 hours.
    Find the distance covered by him in 5
    1
    hours.
    2
    1. 50 km
    2. 65 km
    3. 55 km
    4. 45 km

  1. View Hint View Answer Discuss in Forum

    Distance = 20 kms
    Time = 2 hours

    ∴  Speed =
    Distance
    Time

    =
    20
    = 10 km per hr.
    2

    Now, we have, Speed = 10 km per hr.
    Time =
    11
    hr.
    2

    ∴  Distance = Speed × Time
    = 10 ×
    11
    = 55 km
    2

    Correct Option: C

    Distance = 20 kms
    Time = 2 hours

    ∴  Speed =
    Distance
    Time

    =
    20
    = 10 km per hr.
    2

    Now, we have, Speed = 10 km per hr.
    Time =
    11
    hr.
    2

    ∴  Distance = Speed × Time
    = 10 ×
    11
    = 55 km
    2


  1. Express speed of 60 metres per sec. in km per hour.
    1. 232 kmph
    2. 216 kmph
    3. 116 kmph
    4. 118 kmph

  1. View Hint View Answer Discuss in Forum

    60 metres per sec.

    = 60 ×
    18
    km per hr.
    5

    = 216 km per hr.

    Correct Option: B

    60 metres per sec.

    = 60 ×
    18
    km per hr.
    5

    = 216 km per hr.



  1. Express speed of 36 km per hr. in metres per second.
    1. 10 m/sec.
    2. 8 m/sec.
    3. 12 m/sec.
    4. 18m/sec.

  1. View Hint View Answer Discuss in Forum

    36 km/hr.

    = 36 ×
    5
    m/sec.
    18

    = 10 m/sec.

    Correct Option: A

    36 km/hr.

    = 36 ×
    5
    m/sec.
    18

    = 10 m/sec.


  1. A man walking at 3 km/hour crosses a square field diagonally in 2 minutes. The area of the field (in square metre) is
    1. 3000
    2. 5000
    3. 6000
    4. 2500

  1. View Hint View Answer Discuss in Forum

    Speed of person = 3 kmph

    =
    3000
    m./min.
    60

    = 50 m./min.
    ∴  Length of the diagonal of square field
    = 50 × 2 = 100 metre
    ∴  Required time =
    1
    × (100)2
    2

    = 5000 sq. metre

    Correct Option: B

    Speed of person = 3 kmph

    =
    3000
    m./min.
    60

    = 50 m./min.
    ∴  Length of the diagonal of square field
    = 50 × 2 = 100 metre
    ∴  Required time =
    1
    × (100)2
    2

    = 5000 sq. metre



  1. A and B are 15 kms apart and when travelling towards each other meet after half an hour whereas they meet two and a half hours later if they travel in the same direction. The faster of the two travels at the speed of
    1. 15 km./hr.
    2. 18 km./hr.
    3. 10 km./hr.
    4. 8 km./hr.

  1. View Hint View Answer Discuss in Forum


    A’s speed = x kmph.
    B’s speed = y kmph.
    When A and B move in opposite
    directions they meet at C and
    when they move in the same direction, they meet at D.
    Case I,
    AC + CB = AB

    x
    +
    y
    = 15
    22

    ⇒  x + y = 30   ..... (i)
    Case II,
    AD – BD = AB
    ⇒ x ×
    5
    − y ×
    5
    = 15
    22

    5
    (x – y) = 15
    2

    ⇒  x – y =
    15 × 2
    = 6   .....(ii)
    5

    ∴  On adding equations (i) and (ii),
    x + y + x – y = 30 + 6
    ⇒  2x = 36
    ⇒  x =
    36
    = 18 kmph.
    2

    Correct Option: B


    A’s speed = x kmph.
    B’s speed = y kmph.
    When A and B move in opposite
    directions they meet at C and
    when they move in the same direction, they meet at D.
    Case I,
    AC + CB = AB

    x
    +
    y
    = 15
    22

    ⇒  x + y = 30   ..... (i)
    Case II,
    AD – BD = AB
    ⇒ x ×
    5
    − y ×
    5
    = 15
    22

    5
    (x – y) = 15
    2

    ⇒  x – y =
    15 × 2
    = 6   .....(ii)
    5

    ∴  On adding equations (i) and (ii),
    x + y + x – y = 30 + 6
    ⇒  2x = 36
    ⇒  x =
    36
    = 18 kmph.
    2